For β < β_c, the probability that a + crossing holds at both times 0 and t under Glauber dynamics converges to 1/4, with a sharp transition at the sensitivity scale ε_n = 1/(n^2 α_n).
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Noise sensitivity of crossings for high temperature Ising model
For β < β_c, the probability that a + crossing holds at both times 0 and t under Glauber dynamics converges to 1/4, with a sharp transition at the sensitivity scale ε_n = 1/(n^2 α_n).